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Action in Economics: Mathematical Derivation of Laws of Economics from the Principle of Least Action in Physics

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  • Kombarov, Sayan

Abstract

The thesis of this paper is mathematical formulation of the laws of Economics with application of the principle of Least Action of classical mechanics. This paper is proposed as the rigorous mathematical approach to Economics provided by the fundamental principle of the physical science – the Principle of Least Action. This approach introduces the principle of Action into main-stream economics and allows to reconcile the main principles Austrian School of Economics with the laws of market, such Say’s law, marginal value and interest rate theory, with the modern results of mathematical economics, such as Capital Asset Pricing Model (CAPM), game theory and behavioral economics. This principle is well known in classical mechanics as the law of conservation of action that governs any system as a whole and all its components. It led to the revolution in physics, as it allows to derive the laws of Newtonian and quantum mechanics and probability. Ludwig von Mises defined Economics is the science of Human Action. Action is introduced into Economics by the founder of Austrian School of Economic, Carl Menger. Production or acquisition of any goods, services and assets are results of purposeful acts in the form of expenditure of work and energy in the form of flow of money and material resources. Humans take them to achieve certain desired goals with given resources and time. Any economic good and service, financial, productive, or real estate asset is the result of such action.

Suggested Citation

  • Kombarov, Sayan, 2021. "Action in Economics: Mathematical Derivation of Laws of Economics from the Principle of Least Action in Physics," MPRA Paper 112474, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:112474
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    File URL: https://mpra.ub.uni-muenchen.de/112474/1/2498.pdf
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    References listed on IDEAS

    as
    1. Samuelson, Paul A, 1972. "Maximum Principles in Analytical Economics," American Economic Review, American Economic Association, vol. 62(3), pages 249-262, June.
    2. Mirowski, Philip, 1984. "Physics and the 'Marginalist Revolution.'," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 8(4), pages 361-379, December.
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    JEL classification:

    • A10 - General Economics and Teaching - - General Economics - - - General
    • A12 - General Economics and Teaching - - General Economics - - - Relation of Economics to Other Disciplines
    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • A20 - General Economics and Teaching - - Economic Education and Teaching of Economics - - - General
    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D00 - Microeconomics - - General - - - General
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General
    • F0 - International Economics - - General
    • G0 - Financial Economics - - General
    • G01 - Financial Economics - - General - - - Financial Crises
    • G02 - Financial Economics - - General - - - Behavioral Finance: Underlying Principles
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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